Question

locate √10 in number line​

Answer 1

Construction

1. Take a line segment AO = 3 unit on the x-axis. ( consider 1 unit = 2cm)
2. Draw a perpendicular on O and draw a line OC = 1 unit.
3. Now join AC with √10.
4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.
5. The line segment AC represents √10 units.